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47082490225 = 52433972
BaseRepresentation
bin101011110110010101…
…011100100101110001
311111112021000022121021
4223312111130211301
51232411104141400
633343541055441
73254514364231
oct536625344561
9144467008537
1047082490225
1118a70924851
12915b9b7581
1345944ab194
1423c907bcc1
15135869771a
hexaf655c971

47082490225 has 9 divisors (see below), whose sum is σ = 58383633217. Its totient is φ = 37665124240.

The previous prime is 47082490201. The next prime is 47082490237. The reversal of 47082490225 is 52209428074.

It is a happy number.

The square root of 47082490225 is 216985.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5378315569 + 41704174656 = 73337^2 + 204216^2 .

It is a de Polignac number, because none of the positive numbers 2k-47082490225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1063227 + ... + 1106623.

Almost surely, 247082490225 is an apocalyptic number.

47082490225 is the 216985-th square number.

47082490225 is the 108493-rd centered octagonal number.

It is an amenable number.

47082490225 is a deficient number, since it is larger than the sum of its proper divisors (11301142992).

47082490225 is an frugal number, since it uses more digits than its factorization.

47082490225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86804 (or 43402 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 47082490225 in words is "forty-seven billion, eighty-two million, four hundred ninety thousand, two hundred twenty-five".

Divisors: 1 5 25 43397 216985 1084925 1883299609 9416498045 47082490225